GATE 2016 EE | Eigenvalues of A² - 3A + 4I | Linear Algebra - Examprev

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Electrical Engineering > GATE 2016 SET-1 > Linear Algebra

Let the eigenvalues of a 2x2 matrix A be 1, -2 with eigenvectors x₁ and x₂ respectively. Then the eigenvalues and eigenvectors of the matrix A² - 3A + 4I would, respectively, be

A

2, 14; x₁, x₂

B

2, 14; x₁+x₂, x₁-x₂

C

2, 0; x₁, x₂

D

2, 0; x₁+x₂, x₁-x₂

Correct : a

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